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Q1. There is a well-known legend about physicist Isaac Newton. It says that he was inspired into his improvement of the Law of Gravitation as resting under a tree and having an apple fall (free-fall) on his head from one of the branches of the tree. Assume the apple was 3.90 meters above ground before falling, even as Newton's head was 90 centimetres above ground. How long did it take the apple to hit Newton after falling off? (Apple falls from rest)
Q2. A box of books weighing 312 N is shoved across the floor by a force of 425 N, exerted downward at an angle of 35.2 below the horizontal. If coefficient of kinetic friction between the box and the floor is 0.570, how long does it take to move the box 4.00 m, starting from rest?
Q3. Draw a graph of velocity vs. time for an object that has:
a. A positive initial velocity and a constant positive acceleration.
b. A positive initial velocity and a constant negative acceleration.
c. A positive initial velocity and no acceleration.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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